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Security of Distributed Parameter Cyber-Physical Systems (DPCPSs) is ofcritical importance in the face of cyber-attack threats. Although securityaspects of Cyber-Physical Systems (CPSs) modelled by Ordinary differentialEquations (ODEs) have been extensively explored during the past decade,security of DPCPSs has not received its due attention despite itssafety-critical nature. In this work, we explore the security aspects of DPCPSsfrom a system theoretic viewpoint. Specifically, we focus on DPCPSs modelled bylinear parabolic Partial Differential Equations (PDEs) subject to cyber-attacksin actuation channel. First, we explore the detectability of such attacks andderive conditions for stealthy attacks. Next, we develop a design framework forcyber-attack detection algorithms based on output injection observers. Suchattack detection algorithms explicitly consider stability, robustness andattack sensitivity in their design. Finally, theoretical analysis andsimulation studies are performed to illustrate the effectiveness of theproposed approach.

Security of Distributed Parameter Cyber-Physical Systems: Cyber-Attack Detection in Linear Parabolic PDEs