Search Results - "Peet, Matthew"

A Dual to Lyapunov's Second Method for Linear Systems With Multiple Delays and Implementation Using SOS by Peet, Matthew M.

“…We present a dual form of Lyapunov-Krasovskii functional which allows the problem of controller synthesis for multidelay systems to be formulated and solved in…”
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The orbital mechanics of space elevator launch systems by Peet, Matthew M.

“…The construction of a space elevator would be an inspiring feat of planetary engineering of immense cost and risk. But would the benefit outweigh the costs and…”
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Extensions of the Dynamic Programming Framework: Battery Scheduling, Demand Charges, and Renewable Integration by Jones, Morgan, Peet, Matthew M.

“…We consider a general class of dynamic programming (DP) problems with nonseparable objective functions. We show that for any problem in this class, there…”
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Optimal Thermostat Programming for Time-of-Use and Demand Charges With Thermal Energy Storage and Optimal Pricing for Regulated Utilities by Kamyar, Reza, Peet, Matthew M.

“…In this paper, we solve the optimal thermostat programming problem for consumers with combined demand (/kW) and time-of-use (/kWh) pricing plans. We account…”
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Heterogeneous Hydrogel Structures with Spatiotemporal Reconfigurability using Addressable and Tunable Voxels by Khodambashi, Roozbeh, Alsaid, Yousif, Rico, Rossana, Marvi, Hamid, Peet, Matthew M., Fisher, Rebecca E., Berman, Spring, He, Ximin, Aukes, Daniel M.

“…Stimuli‐responsive hydrogels can sense environmental cues and change their volume accordingly without the need for additional sensors or actuators. This…”
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Employing Feature Selection Algorithms to Determine the Immune State of a Mouse Model of Rheumatoid Arthritis by Talitckii, Aleksandr, Mangal, Joslyn L., Colbert, Brendon K., Acharya, Abhinav P., Peet, Matthew M.

“…The immune response is a dynamic process by which the body determines whether an antigen is self or nonself. The state of this dynamic process is defined by…”
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Employing Feature Selection Algorithms to Determine the Immune State of Mice Model of Rheumatoid Arthritis by Talitckii, Aleksandr, Mangal, Joslyn L., Colbert, Brendon K., Acharya, Abhinav P., Peet, Matthew M.

“…The immune response is a dynamic process by which the body determines whether an antigen is self or nonself. The state of this dynamic process is defined by…”
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A Convex Sum-of-Squares Approach to Analysis, State Feedback and Output Feedback Control of Parabolic PDEs by Gahlawat, Aditya, Peet, Matthew M.

“…We present an optimization-based framework for analysis and control of linear parabolic partial differential equations (PDEs) with spatially varying…”
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A Converse Sum of Squares Lyapunov Result With a Degree Bound by Peet, M. M., Papachristodoulou, A.

“…Although sum of squares programming has been used extensively over the past decade for the stability analysis of nonlinear systems, several fundamental…”
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On the conservatism of the sum-of-squares method for analysis of time-delayed systems by Peet, Matthew M., Bliman, Pierre-Alexandre

“…In this paper, we present a converse Lyapunov result which shows that using polynomial Lyapunov functionals to prove the stability of linear time-delay systems…”
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Kinematic Modeling and Trajectory Tracking Control of an Octopus-Inspired Hyper-Redundant Robot by Lafmejani, Amir Salimi, Doroudchi, Azadeh, Farivarnejad, Hamed, He, Ximin, Aukes, Daniel, Peet, Matthew M., Marvi, Hamidreza, Fisher, Rebecca E., Berman, Spring

“…This letter addresses the kinematic modeling and control of hyper-redundant robots inspired by the octopus arm. We propose a discrete multi-segment model in…”
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Integral Quadratic Constraints with Infinite-Dimensional Channels by Talitckii, Aleksandr, Peet, Matthew M., Seiler, Peter

“…Modern control theory provides us with a spectrum of methods for studying the interconnection of dynamic systems using input-output properties of the…”
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Representation of networks and systems with delay: DDEs, DDFs, ODE–PDEs and PIEs by Peet, Matthew M.

“…Delay-Differential Equations (DDEs) are the most common representation for systems with delay. However, the DDE representation is limited. In network models…”
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A Partial Integral Equation (PIE) representation of coupled linear PDEs and scalable stability analysis using LMIs by Peet, Matthew M.

“…We present a new Partial Integral Equation (PIE) representation of Partial Differential Equations (PDEs) in which it is possible to use convex optimization to…”
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PIETOOLS: A Matlab Toolbox for Manipulation and Optimization of Partial Integral Operators by Shivakumar, Sachin, Das, Amritam, Peet, Matthew M.

“…In this paper, we present PIETOOLS, a MATLAB toolbox for the construction and handling of Partial Integral (PI) operators. The toolbox introduces a new class…”
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Representation of linear PDEs with spatial integral terms as Partial Integral Equations by Shivakumar, Sachin, Das, Amritam, Peet, Matthew M.

“…In this paper, we present the Partial Integral Equation (PIE) representation of linear Partial Differential Equations (PDEs) in one spatial dimension, where…”
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Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems by Jones, Morgan, Peet, Matthew M.

“…This paper proposes a method for certifying the local asymptotic stability of a given nonlinear Ordinary Differential Equation (ODE) by using Sum-of-Squares…”
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A generalization of Bellman’s equation with application to path planning, obstacle avoidance and invariant set estimation by Jones, Morgan, Peet, Matthew M.

“…The standard Dynamic Programming (DP) formulation can be used to solve Multi-Stage Optimization Problems (MSOP’s) with additively separable objective…”
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Converse Lyapunov Functions and Converging Inner Approximations to Maximal Regions of Attraction of Nonlinear Systems by Jones, Morgan, Peet, Matthew M.

“…This paper considers the problem of approximating the "maximal" region of attraction (the set that contains all asymptotically stable sets) of any given set of…”
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A PIE Representation of Coupled Linear 2D PDEs and Stability Analysis using LPIs by Jagt, Declan S., Peet, Matthew M.

“…This paper presents a Partial Integral Equation (PIE) representation of linear Partial Differential Equations (PDEs) in two spatial variables. PIEs are an…”
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