Corporate jet Captain reported numerous CAS Fault messages including loss of hydraulic pressure. Flight crew continued to destination airport and after landing was towed off runway.

Narrative

First indication of problem occurred at cruise (43;000') with 35 minutes remaining in our flight from ZZZ1-ZZZ. Without any configuration change; we received cascading CAS messages as follows: - L ENG CONTROL FAULT- AIR DATA 1 FAIL- AVIONICS FAULT- L ENG FAULT- R ENG FAULT- L ENG ANTI-ICE FAULT- XM DATALINK FAILWe designated communications to myself (PF) and the (PM) began running QRH checklists for the amber CAS messages. The QRH indicated to exit RVSM airspace and land as soon as practical. After assessing the situation; we both agreed that our descent on the arrival was imminent and that continuing into ZZZ was the best course of action. As we began our descent and continued to monitor systems; X indications on all left side systems were noted. No other CAS messages posted and no abnormal flight indications displayed until being vectored onto final approach. At 6000' we were assigned 180 KIAS. I extended the speed brake to assist in decelerating and upon doing so; the LOW HYDRAULIC PRESSURE CAS posted. We continued on approach while running QRH which indicated no taxi upon landing could be accomplished. Upon reaching this conclusion; we were cleared to land by ZZZ Tower. I instructed PM to request vectors and we were issued a go around. After leveling off; communications were transferred back to myself (PF) and I explained to approach control of the situation and [requested priority handling]. After completing checklists; PM reclaimed communications and helped coordinate ground; ramp and emergency services for our landing on Runway XXL. Prior to landing we were able to communicate to passenger the situation and instruct him accordingly. Aircraft landed and normal brake/steering inputs were felt until the brake accumulator completely drained. As I lost brake pressure and steering pressure; I extended the emergency brake to completely stop the aircraft. ATC communicated until trucks arrived and we then were instructed to shutdown engines on Runway. Walk around inspections were performed by emergency services and PM after ATC authorized us to exit aircraft. No visible damage or leaks were seen. Aircraft was then towed to ramp without incident.