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Conference Paper
Mohammad Naghnaeian, University of Illinois at Urbana-Champaign, Petros G. Voulgaris, University of Illinois at Urbana-Champaign, Geir Dullerud, University of Illinois at Urbana-Champaign.  2016.  A Unified Framework for lp Analysis and Synthesis of Linear Switched Sytems. American Control Confernce.

In this paper we develop a new framework to analyze stability and stabilizability of Linear Switched Systems (LSS) as well as their gain computations. Our approach is based on a combination of state space operator descritions and the Youda parametrization and provides a unified way to analysis an synthesis of LSS and in fact of Linear Time Varying (LTV) systems, in any lp induced norm sense. By specializing to the l case, we show how Linear Programming (LP) can be used to test stability, stabiliazbility and to synthesize stabilizing controllers that guarantee a near optimal closed-loop gain.

Mohammad Naghnaeian, University of Illinois at Urbana-Champaign, Petros G. Voulgaris, University of Illinois at Urbana-Champaign, Geir Dullerud, University of Illinois at Urbana-Champaign.  2016.  A Unified Frameworks for LpAnalysis and Synthesis of Linear Switched Systems.

In this paper, we develop a new framework to analyze stability and stabilizability of Linear Switched Systems (LSS) as well as their gain computations. Our approach is based on a combination of state space operator descriptions and the Youla parametrization and provides a unified way for analysis and synthesis of LSS, and in fact of Linear Time Varying (LTV) systems, in any lp induced norm sense. By specializing to the l∞ case, we show how Linear Programming (LP) can be used to test stability, stabilizability and to synthesize stabilizing controllers that guarantee a near optimal closed-loop gain.